4 citations · 4 across the 7 of their papers we have counts for
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Ground state energy threshold and blow-up for NLS with competing nonlinearities
Jacopo Bellazzini, Luigi Forcella, Vladimir Georgiev
We consider the nonlinear Schrödinger equation with combined nonlinearities, where the leading term is an intracritical focusing power-type nonlinearity, and the perturbation is gi…
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with nonlinear response
Alex H. Ardila, Van Duong Dinh, Luigi Forcella
We study the asymptotic dynamics for solutions to a system of nonlinear Schrödinger equations with cubic interactions, arising in nonlinear optics. We provide sharp threshold crite…
Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction
Van Duong Dinh, Luigi Forcella
We establish blow-up results for systems of NLS equations with quadratic interaction in anisotropic spaces. We precisely show finite time blow-up or grow-up for cylindrical symmetr…